3922200 has 72 divisors (see below), whose sum is σ = 13178100. Its totient is φ = 1045440.

The previous prime is 3922187. The next prime is 3922207. The reversal of 3922200 is 22293.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3922207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 711 + ... + 2889.

Almost surely, 2^3922200 is an apocalyptic number.

3922200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3922200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6589050).

3922200 is an abundant number, since it is smaller than the sum of its proper divisors (9255900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3922200 is a wasteful number, since it uses less digits than its factorization.

3922200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3922200 is about 1980.4544932919. The cubic root of 3922200 is about 157.7041947140.

Adding to 3922200 its reverse (22293), we get a palindrome (3944493).

The spelling of 3922200 in words is "three million, nine hundred twenty-two thousand, two hundred".